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Functional Quantum Field Theory in Phase Space

2021/08/13 by José A. R. Cembranos, Cembranos, José A. R., Marcos Skowronek +1
Computer Science · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Information and Cryptography #Quantum Mechanics and Applications #hep-th

paper · pdf · doi:10.48550/arxiv.2108.06268

Corresponding author: Marcos Skowronek

arxiv created 2021/08/13 · openalex publication_date 2021/08/13 · arxiv updated 2021/08/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We determine the form of the Wigner functional for several types of quantum free field theories in order to analyze the representation of QFT in phase space, as well as to compare it to other mainstream formulations. We use Jackiw's functional representation of a quantum field state and extrapolate it to the phase space formalism using an extension of Moyal's equation.

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